Calculate the length X | Three circles inscribed in a rectangle

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Calculate the length X | Three circles inscribed in a rectangle | (Easy explanation) |

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Learn how to find the length X between the centers of blue and green circles . Three circles inscribed in a rectangle. Important Geometry and Algebra skills are also explained: Pythagorean Theorem; Circle theorem. Step-by-step tutorial by PreMath.com
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• Calculate the length X...
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Calculate the length X | Three circles inscribed in a rectangle | (Easy explanation) | #math #maths
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Пікірлер: 76

@arnavkange1487 11 ай бұрын

Very nice trick .....I love these type of sums

@PreMath 11 ай бұрын

Thanks for liking Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

@ismailemroz6737 11 ай бұрын

@@PreMathnsz😊ss,

@miraclesofmaths9728 11 ай бұрын

OMG! I have solved this

@PreMath 11 ай бұрын

Bravo! You are awesome. Keep it up 👍

@luigipirandello5919 11 ай бұрын

Com sua explicação fica fácil entender. Muito obrigado mestre.

@PreMath 11 ай бұрын

You are very welcome! Thank you! Cheers! 😀 You are awesome. Keep it up 👍

@advancedintention7169 11 ай бұрын

Awesome.... thanks sir

@PreMath 11 ай бұрын

You are very welcome! Thank you! Cheers! 😀 You are awesome. Keep it up 👍

@pranavamali05 11 ай бұрын

👌👍

@PreMath 11 ай бұрын

Thank you! Cheers! 😀 You are awesome. Keep it up 👍

@marioalb9726 11 ай бұрын

sin α = (18-12) / (18+12) α = 11,537° sin β = (18x2-12-9) / (12+9) β = 45,585° X = (18+12)cosα + (12+9)cosβ X = 44,09 cm ( Solved √ )

@PreMath 11 ай бұрын

Excellent! Thanks for sharing! Cheers! You are awesome. Keep it up 👍

@KAvi_YA666 11 ай бұрын

Thanks for video.Good luck sir!!!!!!!!!!

@PreMath 11 ай бұрын

Thank you too You are awesome. Keep it up 👍

@ZUBAIR457 5 ай бұрын

Interesting ❤

@parthtomar6987 11 ай бұрын

Nice construction

@PreMath 11 ай бұрын

Excellent! Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

@mvrpatnaik9085 11 ай бұрын

Explanation is fantastic

@miraclesofmaths9728 11 ай бұрын

Put various sums in applied , pure maths. I am waiting...

@mohabatkhanmalak1161 11 ай бұрын

Nice, enjoyed working it out.☀

@PreMath 11 ай бұрын

Excellent! Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

@MarcoPolo-xu9te 10 ай бұрын

I solved it all by myself in 5 mnutes, and got ir right...I'm so proud of myself...

@Atharva-jf7cq 10 ай бұрын

Thanks sir

@murdock5537 11 ай бұрын

Nice! AD =18; AD' = AD + 6 = 24; DE = 30 → DD' = 6 → D'E = √(900 - 36) = 12√6 QE = 15; EF = 21 → QF = √(441 - 225) = 6√6 → x = D'E + QF = AB = 18√6

@PreMath 11 ай бұрын

Excellent! Thanks for sharing! Cheers! You are awesome. Keep it up 👍

@madhusudangupta3661 10 ай бұрын

CB is 6√2 on text bottom line (10:33). I got it as 6√6!

@soli9mana-soli4953 11 ай бұрын

18√ 6 applying Pythagorean theorem

@PreMath 11 ай бұрын

Excellent! Thanks for sharing! Cheers! You are awesome. Keep it up 👍

@bigm383 11 ай бұрын

Thanks Professor!❤️📐😀

@PreMath 11 ай бұрын

My pleasure! Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

@Badmintonforall 11 ай бұрын

love your accent !

@PreMath 11 ай бұрын

Thank you! 😃 You are awesome. Keep it up 👍

@ebrahimnedham5646 11 ай бұрын

Thanks for your continuous effort👍 There is a small writing error in the bottom right of the screen starting at minute 9:40. It says CB=6^2 instead of 6^6.

@PreMath 11 ай бұрын

My apologies! I made the video at midnight. Thats why, I made that silly mistake. Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

@AmirgabYT2185 5 ай бұрын

x=18√6≈44,1

@Copernicusfreud 11 ай бұрын

Yay! I solved the problem.

@PreMath 11 ай бұрын

Excellent! Thanks for sharing! Cheers! You are awesome. Keep it up 👍

@raya.pawley3563 11 ай бұрын

Thank you!

@PreMath 11 ай бұрын

You are very welcome! Thank you! Cheers! 😀 You are awesome. Keep it up 👍

@endardwiMTK 11 ай бұрын

very nice video, ❤

@PreMath 11 ай бұрын

Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

@amralashmawi1888 11 ай бұрын

CB = 6 SQUARE ROOT OF 6 ... CORRECT RIGHT SIDE ... GREAT JOB ... THANK YOU

@PreMath 11 ай бұрын

Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

@amralashmawi1888 11 ай бұрын

@@PreMath You are more than welcome

@lzuluaga6064 11 ай бұрын

Colocó 6 raíz cuadrada de 2.

@wackojacko3962 11 ай бұрын

Lotsa fun! 🙂

@PreMath 11 ай бұрын

Excellent! Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

@JamesAdams-ev6fc 11 ай бұрын

And the long side of the rectangle is 27+18xsqrt(6), the short side is 36 and the area is (27+18xsqrt(6))(36).

@PreMath 11 ай бұрын

Super! Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

@JamesAdams-ev6fc 11 ай бұрын

@@PreMath Love the videos wish you had been my teacher. 🙁🥸

@PreMath 11 ай бұрын

@@JamesAdams-ev6fc Thanks dear You are the best!

@misterenter-iz7rz 11 ай бұрын

6sqrt(24)+3sqrt(24)=9sqrt(24)=18sqrt(6), a bit late for broken knee in Hospital now.😟

@PreMath 11 ай бұрын

Get well soon! Love and prayers from the USA! 😀

@mohanramachandran4550 11 ай бұрын

Simple sum

@PreMath 11 ай бұрын

Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

@amiramy48 11 ай бұрын

there seems to be a mistake in copying from one step to the next towards the end. CB=6 sqrt(6) and then CB = 2 sqrt(6) ??

@PreMath 11 ай бұрын

My apologies! I made the video at midnight. I made that silly mistake. Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

@gautalawrencebusa7474 11 ай бұрын

I solved in 5 min or so.

@PreMath 11 ай бұрын

Bravo You are awesome. Keep it up 👍

@murphygreen8484 11 ай бұрын

Your CB value in the bottom right is incorrect at the end of the video

@PreMath 11 ай бұрын

My apologies! I made the video at midnight. Thats why, I made that silly mistake. Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

@e1woqf 11 ай бұрын

√(30²−6²)+√(21²−15²)=44,0908

@PreMath 11 ай бұрын

Thanks for sharing! Cheers! You are awesome. Keep it up 👍

@giuseppemalaguti435 11 ай бұрын

x=18sqrt6

@PreMath 11 ай бұрын

Excellent! Thanks for sharing! Cheers! You are awesome. Keep it up 👍

@JSSTyger 11 ай бұрын

I've decided to guess....25. I went part way but just didn't have what it took to finish it.

@JSSTyger 11 ай бұрын

Nevermind. I thought the 18, 12, and 9 were areas.

@PreMath 11 ай бұрын

No worries! Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

@comdo777 11 ай бұрын

asnwer=25cm isit

@batavuskoga 11 ай бұрын

How do you get 25 ? By the way, it's not a correct answer

@JSSTyger 11 ай бұрын

@@batavuskoga Well I assumed the numbers given were areas and think the answer would be close to 25 if thats the case.

@batavuskoga 11 ай бұрын

@@JSSTyger not possible area=π*r², so r=sqrt(area/π) blue circle radius= app. 2.4, area 18 yellow circle radius= app. 1.95, area 12 green circle radius= app. 1.69, area 9 height of the rectangle = app. 4.8, much smaller than your answer I calculated x would be about 7.77 in that case